Find the standard form of the equation of the line that passes through (0,1) and (4,6)

For this case we have that by definition, the standard form of a linear equation is given by:

By definition, the slope of a line is given by:

We have as data that the line searched goes through the following points:

Then, the slope is:

Thus, the equation in the slope-intersection form will be given by:

We substitute one of the points to find the cut-off point with the y-axis, that is, "b":

Thus, the equation is:

We manipulate algebraically:

The standard form of the requested equation is:

step-by-step explanation:

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